The local bisection hypothesis for twisted groupoid C*-algebras
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Date
2023
Authors
Armstrong, B.
Brown, J.H.
Clark, L.O.
Courtney, K.
Lin, Y.F.
McCormick, K.
Ramagge, J.
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Semigroup Forum, 2023; 107(3):609-623
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Abstract
In this note, we present criteria that are equivalent to a locally compact Hausdorff groupoid G being effective. One of these conditions is that G satisfies the C*-algebraic local bisection hypothesis; that is, that every normaliser in the reduced twisted groupoid C*-algebra is supported on an open bisection. The semigroup of normalisers plays a fundamental role in our proof, as does the semigroup of normalisers in cyclic group C*-algebras.
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Copyright 2023 Springer. This article is licensed under a Creative Commons Attribution 4.0 International License. (http://creativecommons.org/licenses/by/4.0/)